[alinik]

Hi all,

I need to find a transformation function that maps a curved domains on the left (Green) to a rectangular domain (Blue domain on the right).

I know it is possible through conformal mapping.

My background is not math and I have been studying much about conformal mapping lately, but I do not have a solid clue.
Supposedly it is very popular method in grid generation process, especially for turbomachinery application.
Please have a look at the picture.

ALSO I found an article here: sciencedirect.com/science/article/pii/0021999183900207 But have many questions.
Is there anyone here that fully understands this article and can help me implement it in my study?